Modelling of Vibrating Systems Using Time-Domain Finite Element Method

Suk, Jinyoung; Kim, Y.

doi:10.1006/jsvi.2001.4098

Cited by 3 publications

(1 citation statement)

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“…Dynamics community have also considered this type of approach in regard to various applications such as structural dynamics, nonlinear vibrations, inverse dynamics of flexible robots, gate analysis, and optimal control problem for converting problems from infinite dimension to finite dimension. Some of the related works can be found in [23]- [29]. These prior time-parameterization methods often produced highly nonlinear and coupled sets of equations, thus limiting their tractability with complex systems.…”

Section: State-time Vs Traditional State Dynamic Formulationsmentioning

confidence: 99%

Dynamic Simulation of Multibody Systems Using a New State-Time Methodology

Anderson

Oghbaei

2005

Multibody Syst Dyn

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This paper presents a new methodology demonstrating the feasibility and advantages of a state-time formulation for dynamic simulation of complex multibody systems which shows potential advantages for exploiting massively parallel computing resources. This formulation allows time to be discretized and parameterized so that it can be treated as a variable in a manner similar to the system state variables. As a consequence of such a state-time discretization scheme, the system of governing equations yields to a set of loosely coupled linear-quadratic algebraic equations that is well-suited in structure for some families of nonlinear algebraic equations solvers. The goal of this work is to develop efficient multibody dynamics algorithm that is extremely scalable and better able to fully exploit anticipated immensely parallel computing machines (tera flop, pecta flop and beyond) made available to it. KeywordMultibody dynamics, State-time formulation, Scalable algorithm, Parallel computing Nomenclature B: Typical body B with its mass center B * F kA : k th applied force acting on the body B f mC : m th unknown constraint force acting on the body B r kA : k th position vector from B * to application point of F kA r B * jm : m th position vector from B * to application point (joint) of f mC

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Section: State-time Vs Traditional State Dynamic Formulationsmentioning

confidence: 99%